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Finding the Third Proportional to 129,924 and 282,042

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Solution

The third proportional to 129,924 and 282,042 is: 612,263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,924 : 282,042 = 282,042 : x
  2. Step 2: Convert to fraction form
    129,924/282,042 = 282,042/x
  3. Step 3: Cross multiply
    129,924x = 282,042 × 282,042
  4. Step 4: Simplify right side
    129,924x = 79,547,689,764
  5. Step 5: Solve for x
    x = 79,547,689,764/129,924
  6. Step 6: Final answer
    x = 612,263.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.